{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "300b1f13-2757-494f-931f-5c6ebfd43d0e",
   "metadata": {},
   "source": [
    "Chapter 01\n",
    "\n",
    "# L2范数等距线\n",
    "《线性代数》 | 鸢尾花书：数学不难"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d54b2bbb-4237-4ecf-b231-f95525f9ceea",
   "metadata": {},
   "source": [
    "这段代码从数学的角度，是在构建二维空间中 **$L^2$ 范数（欧几里得范数）** 的等距线图，并结合标准基向量 $e_1 = (1, 0)$ 与 $e_2 = (0, 1)$ 来可视化该范数下的几何结构。\n",
    "\n",
    "---\n",
    "\n",
    "首先，定义了一个二维平面区域，$x, y \\in [-8, 8]$，并使用等间距的网格点将这个平面离散化。也就是说，我们在平面上构造了一个 $1000 \\times 1000$ 的网格，对应的每个点可以表示为 $(x_i, y_j)$，其中 $x_i, y_j \\in [-8, 8]$ 且等间距。\n",
    "\n",
    "接下来，我们在每个网格点 $(x_i, y_j)$ 上计算它到原点 $(0, 0)$ 的 $L^2$ 范数，也就是欧几里得距离，其数学定义如下：\n",
    "\n",
    "$$\n",
    "\\| (x, y) \\|_2 = \\left( x^2 + y^2 \\right)^{1/2}\n",
    "$$\n",
    "\n",
    "代码中为了通用性，使用了一个变量 $p = 2$，并计算了如下形式的范数：\n",
    "\n",
    "$$\n",
    "zz = \\left( |x|^p + |y|^p \\right)^{1/p}\n",
    "$$\n",
    "\n",
    "由于 $p=2$，这正好就是欧几里得范数 $L^2$。如果换成 $p=1$，就是曼哈顿距离（$L^1$ 范数），换成 $p=\\infty$ 就是最大值范数。\n",
    "\n",
    "这样，`zz` 数组中存储的就是平面上每个点到原点的 $L^2$ 距离。\n",
    "\n",
    "---\n",
    "\n",
    "接下来，为了给这个范数的结构一个几何直观的展示，程序绘制了 **等范数线**（即等距线），也叫做 **范数球的等高线图**。这些等距线满足：\n",
    "\n",
    "$$\n",
    "\\| (x, y) \\|_2 = c\n",
    "$$\n",
    "\n",
    "其中 $c$ 是不同的常数，比如 $c = 1, 2, \\dots, 8$。这对应的图形是以原点为圆心的同心圆，因为在 $L^2$ 范数下，满足距离为常数的点集合是一个圆。\n",
    "\n",
    "---\n",
    "\n",
    "此外，程序中还绘制了二维空间的两个标准基向量：\n",
    "\n",
    "- $e_1 = \\begin{bmatrix}1 \\\\ 0\\end{bmatrix}$，指向 x 轴正方向；\n",
    "- $e_2 = \\begin{bmatrix}0 \\\\ 1\\end{bmatrix}$，指向 y 轴正方向。\n",
    "\n",
    "它们作为箭头从原点出发绘制在图上，表示二维空间中最基本的方向。\n",
    "\n",
    "---\n",
    "\n",
    "图像的坐标轴被设置为 $[-8, 8]$ 的范围，并启用了网格线、刻度、坐标轴线，使整个图更清晰。最后一行代码 `set_aspect('equal')` 保证了 x 轴和 y 轴的单位长度相同，从而保持几何形状的真实比例——在这种设置下，$L^2$ 范数的等高线就会真实地显示为圆形。\n",
    "\n",
    "---\n",
    "\n",
    "总之，这段代码完成了以下数学可视化工作：\n",
    "\n",
    "1. 以原点为中心，计算每个点的 $L^2$ 范数；\n",
    "2. 绘制出多个不同半径的 $L^2$ 范数“球”；\n",
    "3. 展示了标准基向量在这种范数结构下的位置和方向；\n",
    "4. 结合色彩与图形，把抽象的范数变成了直观的视觉图景。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86d64ffa-2f96-4ed5-97a5-e87c5626352a",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4bfa1b42-15c8-4884-a571-34bf0ab3dab5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0781eea7-1142-455d-93ac-435fb61b7ba1",
   "metadata": {},
   "source": [
    "## 生成数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9c68dacb-c222-408b-b43f-4f789808a20f",
   "metadata": {},
   "outputs": [],
   "source": [
    "xx, yy = np.meshgrid(np.linspace(-8, 8, 1000), \n",
    "                     np.linspace(-8, 8, 1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a30f7157-a85d-45d4-bef9-76d52b291b03",
   "metadata": {},
   "source": [
    "## 计算 L2范数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "91c18e1e-5bc2-45c4-89af-1f5cedb654e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "p = 2\n",
    "zz = (xx**p + yy**p)**(1/p)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "432f76bc-533c-4dc5-84db-73c36dcf746a",
   "metadata": {},
   "source": [
    "## 定义标准基向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a3f46cd9-01e1-4db7-8c9f-48d36ea823a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "e1 = np.array([1, 0])\n",
    "e2 = np.array([0, 1])\n",
    "\n",
    "# 定义颜色\n",
    "color_e1 = [0, 0, 0]  # 黑色\n",
    "color_e2 = [0, 0, 0]  # 黑色"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c39d6f7a-90ee-4b8d-8157-309ea2ee7dec",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6721c36b-6361-4176-bfed-d4888654c2c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "\n",
    "# 绘制标准基向量 e1 和 e2\n",
    "plt.quiver(0, 0, e1[0], e1[1], \n",
    "           angles='xy', scale_units='xy', \n",
    "           scale=1, color=color_e1, \n",
    "           label='e1', zorder=1000)\n",
    "\n",
    "plt.quiver(0, 0, e2[0], e2[1], \n",
    "           angles='xy', scale_units='xy', \n",
    "           scale=1, color=color_e2, \n",
    "           label='e2', zorder=1000)\n",
    "\n",
    "# 绘制 L1 范数的等距线 \n",
    "contour = plt.contour(xx, yy, zz,\n",
    "                      levels=np.arange(1, 9), \n",
    "                      cmap='RdYlBu_r')  \n",
    "\n",
    "# 添加 colorbar\n",
    "cbar = plt.colorbar(contour)\n",
    "\n",
    "# 设置坐标轴范围\n",
    "plt.xlim(-8, 8)\n",
    "plt.ylim(-8, 8)\n",
    "\n",
    "# 绘制网格和坐标轴\n",
    "plt.axhline(0, color='black', linewidth=0.5)\n",
    "plt.axvline(0, color='black', linewidth=0.5)\n",
    "plt.xticks(np.arange(-8, 9, 2))\n",
    "plt.yticks(np.arange(-8, 9, 2))\n",
    "plt.grid(True, which='both', linestyle='--', linewidth=0.5, color='0.8')\n",
    "\n",
    "# 设置等比例显示\n",
    "plt.gca().set_aspect('equal', adjustable='box')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77d1a73a-720e-4b49-8a15-7a4dea6df075",
   "metadata": {},
   "source": [
    "作者\t**生姜DrGinger**  \n",
    "脚本\t**生姜DrGinger**  \n",
    "视频\t**崔崔CuiCui**  \n",
    "开源资源\t[**GitHub**](https://github.com/Visualize-ML)  \n",
    "平台\t[**油管**](https://www.youtube.com/@DrGinger_Jiang)\t\t\n",
    "\t\t[**iris小课堂**](https://space.bilibili.com/3546865719052873)\t\t\n",
    "\t\t[**生姜DrGinger**](https://space.bilibili.com/513194466)  "
   ]
  }
 ],
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